The document discusses reciprocals and division in algebra 1. It explains that finding the reciprocal of a number or fraction involves flipping the numerator and denominator. Several examples are provided of converting decimals to fractions and finding their reciprocals. Key properties of reciprocals are defined, such as the reciprocal of a product equals the product of the reciprocals. The document emphasizes that division can be represented as multiplying by a reciprocal. Practice problems are included for students to work through.

1. Algebra 1 3.6
Reciprocals and Division
https://www.youtube.com/watch?v=-Te57fkE6Gc

2. Did you know that:
By stating the objectives
for the lesson, retention
increases by 24%!

3. Review:

4. Talk with the people on your table about:
2. Consider the fraction . What does the denominator tell you?
Give a real-life example of this fraction.
4
5
3. What happens when you multiply by its reciprocal, ?
Why?
4
5 4
5
1. What operation is being represented in ? How do you know?
4
5

5. Step 1: convert decimal to fraction.
Step 2: Find the reciprocal.
How do you find the reciprocal of 3.14?

7. Find the reciprocal of this decimal:

8. Find the reciprocal of this decimal:

9. 1) 45.65
2) 632.6
3) 2.239
4) 0.10394

10. Reciprocal Properties:
Property of Reciprocals: a 1
a
= 1 a1
a
= 1
Reciprocal of the Opposite:
a
1
-a
= -
1
Reciprocal of a Product: =
1
ab
1
a
1
b

11. Division = Multiplying by a reciprocal
Examples:

12. Simplifying Simple Expressions with Reciprocals:
1
-7
1
4
1
4
4y 1
3
-6ab -

13. Simplifying Complicated Expressions with Reciprocals:
1
3
(42x - 3y)

20. Practice Problems in Algebra 1 Textbook